Hello, Sage shows elements of $GF(2^n)$ as their decomposition in $GF(2^n)$ viewed as a vector space over $GF(2)$. But $GF(2^n)$ is also a field, whose multiplicative group is cyclic, so elements (except $0$) have a natural description as $z^k$ with $k$ in $[0..(n-1)]$. How can I make Sage reveal this?
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